Dynamical mass generation and critical behavior in pseudo-Proca quantum electrodynamics
- 1Universidade Federal do Pará
- 2Universidade Federal de Campina Grande
Abstract
We investigate dynamical mass generation in pseudo-Proca quantum electrodynamics (PPQED) using Schwinger–Dyson equations in rainbow-quenched and unquenched truncations. The pseudo-Proca screening scale m , together with the fine-structure constant α α , the flavor number N , and the ultraviolet cutoff varLambda Λ , controls the critical thresholds for chiral symmetry breaking in the reduced (2 + 1) ( 2 + 1 ) D theory. Within these truncation schemes, we obtain analytical estimates for both the critical coupling α c(m,varLambda ) α c ( m , Λ ) and the critical number of fermion flavors Nc(m,varLambda ,g) N c ( m , Λ , g ) , and show that increasing m suppresses dynamical mass generation through Yukawa screening. We further assess the robustness of this physical picture by incorporating a Ball–Chiu vertex construction; our results show that while vertex corrections modify the quantitative values of the critical parameters, they preserve the qualitative screening-driven suppression of dynamical mass generation. In addition, within the static approximation, our anisotropic extension shows that the critical coupling is a monotonically decreasing function of the ratio vF/c v F / c . Taken together, our results suggest that the scale m plays an important role in modulating criticality in PPQED.
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BibTeX
@article{barroso2026dynamical,
title = {{Dynamical mass generation and critical behavior in pseudo-Proca quantum electrodynamics}},
author = {Helio G. Barroso and Van Sérgio Alves and Leandro O. Nascimento},
journal = {The European Physical Journal C},
year = {2026},
month = oct,
doi = {10.1140/epjc/s10052-026-16453-x},
url = {https://link.springer.com/10.1140/epjc/s10052-026-16453-x},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Dynamical mass generation and critical behavior in pseudo-Proca quantum electrodynamics
AU - Helio G. Barroso
AU - Van Sérgio Alves
AU - Leandro O. Nascimento
PY - 2026
DA - 2026/10/13
JO - The European Physical Journal C
DO - 10.1140/epjc/s10052-026-16453-x
UR - https://link.springer.com/10.1140/epjc/s10052-026-16453-x
AB - We investigate dynamical mass generation in pseudo-Proca quantum electrodynamics (PPQED) using Schwinger–Dyson equations in rainbow-quenched and unquenched truncations. The pseudo-Proca screening scale m , together with the fine-structure constant α α , the flavor number N , and the ultraviolet cutoff varLambda Λ , controls the critical thresholds for chiral symmetry breaking in the reduced (2 + 1) ( 2 + 1 ) D theory. Within these truncation schemes, we obtain analytical estimates for both the critical coupling α _c(m,varLambda ) α c ( m , Λ ) and the critical number of fermion flavors N_c(m,varLambda ,g) N c ( m , Λ , g ) , and show that increasing m suppresses dynamical mass generation through Yukawa screening. We further assess the robustness of this physical picture by incorporating a Ball–Chiu vertex construction; our results show that while vertex corrections modify the quantitative values of the critical parameters, they preserve the qualitative screening-driven suppression of dynamical mass generation. In addition, within the static approximation, our anisotropic extension shows that the critical coupling is a monotonically decreasing function of the ratio v_F/c v F / c . Taken together, our results suggest that the scale m plays an important role in modulating criticality in PPQED.
SN - 1434-6044
SN - 1434-6052
ER -